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Finding the Fourth Proportional to 11,892.34, 16,411.44 and 6,587.25

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Solution

The fourth proportional to 11,892.34, 16,411.44 and 6,587.25 is: 9,090.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.34 : 16,411.44 = 6,587.25 : x
  2. Step 2: Convert to fraction form
    11,892.34/16,411.44 = 6,587.25/x
  3. Step 3: Cross multiply
    11,892.34x = 16,411.44 × 6,587.25
  4. Step 4: Simplify right side
    11,892.34x = 108,106,258.14
  5. Step 5: Solve for x
    x = 108,106,258.14/11,892.34
  6. Step 6: Final answer
    x = 9,090.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.